Find Servers That Handled Most Number of Requests

You have k servers numbered from 0 to k - 1 that are being used to handle multiple requests simultaneously. Each server has infinite computational capacity but cannot handle more than one request at a time. The requests are assigned to servers according to the following algorithm:

  • The i^th (0-indexed) request arrives.
  • If all servers are busy, the request is dropped and not handled at all.
  • If the (i % k)^th server is available, assign the request to that server.
  • Otherwise, assign the request to the next available server, wrapping around the list of servers and starting from 0 if necessary. For example, if the i^th server is busy, try to assign the request to the (i + 1)^th server, then the (i + 2)^th server, and so on.

You are given a strictly increasing array arrival of positive integers, where arrival[i] represents the arrival time of the i^th request, and another array load, where load[i] represents the load of the i^th request, meaning the time it takes to complete.

Your goal is to find the busiest server(s). A server is considered busiest if it handled the most number of requests successfully among all servers.

Return a list containing the IDs (0-indexed) of the busiest server(s). You may return the IDs in any order.

Example 1
Inputk = 3, arrival = [1,2,3,4,5], load = [5,2,3,3,3]
Output[1]
Servers 0 and 2 handled one request each, while server 1 handled two requests, so server 1 is the busiest server.
Example 2
Inputk = 3, arrival = [1,2,3,4], load = [1,2,1,2]
Output[0]
Server 0 handled two requests, while servers 1 and 2 handled one request each, so server 0 is the busiest server.

Constraints

  • 1 <= k <= 10^5
  • 1 <= arrival.length, load.length <= 10^5
  • arrival.length == load.length
  • 1 <= arrival[i], load[i] <= 10^9
  • arrival is strictly increasing.

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